Lagrangians and Hamiltonians for High School Students

TL;DR

This paper introduces Lagrangian and Hamiltonian mechanics to advanced high school students, providing an accessible way to explore mechanics beyond traditional Newtonian methods without requiring advanced mathematics.

Contribution

It offers an educational approach to teaching Lagrangian and Hamiltonian dynamics suitable for high school students with limited mathematical background.

Findings

Accessible explanation of Lagrangian and Hamiltonian mechanics

Bridges gap between Newtonian mechanics and advanced formulations

Encourages exploration of modern physics concepts at high school level

Abstract

A discussion of Lagrangian and Hamiltonian dynamics is presented at a level which should be suitable for advanced high school students. This is intended for those who wish to explore a version of mechanics beyond the usual Newtonian treatment in high schools, but yet who do not have advanced mathematical skills.